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math.NA2024
Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
Lavanya V Salian, Samala Rathan, Rakesh Kumar
This study aims to construct a stable, high-order compact finite difference method for solving Sobolev-type equations with Dirichlet boundary conditions in one-space dimension. App…
math.NA2024
A novel central compact finite-difference scheme for third derivatives with high spectral resolution
Lavanya V Salian, Samala Rathan, Debojyoti Ghosh
In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes, that offer a superior sp…